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Finding the Third Proportional to 157,102,772 and 339,197,196

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Solution

The third proportional to 157,102,772 and 339,197,196 is: 732,353,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,102,772 : 339,197,196 = 339,197,196 : x
  2. Step 2: Convert to fraction form
    157,102,772/339,197,196 = 339,197,196/x
  3. Step 3: Cross multiply
    157,102,772x = 339,197,196 × 339,197,196
  4. Step 4: Simplify right side
    157,102,772x = 115,054,737,774,262,416
  5. Step 5: Solve for x
    x = 115,054,737,774,262,416/157,102,772
  6. Step 6: Final answer
    x = 732,353,327.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.